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Finding the Fourth Proportional to 13,431.54, 18,535.86 and 7,463.79

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Solution

The fourth proportional to 13,431.54, 18,535.86 and 7,463.79 is: 10,300.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,431.54 : 18,535.86 = 7,463.79 : x
  2. Step 2: Convert to fraction form
    13,431.54/18,535.86 = 7,463.79/x
  3. Step 3: Cross multiply
    13,431.54x = 18,535.86 × 7,463.79
  4. Step 4: Simplify right side
    13,431.54x = 138,347,766.51
  5. Step 5: Solve for x
    x = 138,347,766.51/13,431.54
  6. Step 6: Final answer
    x = 10,300.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.